346696164 has 108 divisors (see below), whose sum is σ = 953928612. Its totient is φ = 105799680.

The previous prime is 346696117. The next prime is 346696187. The reversal of 346696164 is 461696643.

It can be written as a sum of positive squares in 6 ways, for example, as 90440100 + 256256064 = 9510^2 + 16008^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1028604 + ... + 1028940.

Almost surely, 2^346696164 is an apocalyptic number.

346696164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346696164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476964306).

346696164 is an abundant number, since it is smaller than the sum of its proper divisors (607232448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

346696164 is a wasteful number, since it uses less digits than its factorization.

346696164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 400 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 346696164 is about 18619.7788386436. The cubic root of 346696164 is about 702.5054192580.

The spelling of 346696164 in words is "three hundred forty-six million, six hundred ninety-six thousand, one hundred sixty-four".